diff --git a/django/db/models/expressions.py b/django/db/models/expressions.py
index efc7dbc7e6..07e1641dc1 100644
--- a/django/db/models/expressions.py
+++ b/django/db/models/expressions.py
@@ -858,9 +858,6 @@ class ExpressionWrapper(Expression):
 
     def __init__(self, expression, output_field):
         super().__init__(output_field=output_field)
-        if getattr(expression, '_output_field_or_none', True) is None:
-            expression = expression.copy()
-            expression.output_field = output_field
         self.expression = expression
 
     def set_source_expressions(self, exprs):
@@ -870,7 +867,9 @@ class ExpressionWrapper(Expression):
         return [self.expression]
 
     def get_group_by_cols(self, alias=None):
-        return self.expression.get_group_by_cols(alias=alias)
+        expression = self.expression.copy()
+        expression.output_field = self.output_field
+        return expression.get_group_by_cols(alias=alias)
 
     def as_sql(self, compiler, connection):
         return self.expression.as_sql(compiler, connection)
diff --git a/tests/annotations/tests.py b/tests/annotations/tests.py
index 9f35074934..aa3682b86b 100644
--- a/tests/annotations/tests.py
+++ b/tests/annotations/tests.py
@@ -6,8 +6,8 @@ from django.core.exceptions import FieldDoesNotExist, FieldError
 from django.db import connection
 from django.db.models import (
     BooleanField, Case, CharField, Count, DateTimeField, Exists,
-    ExpressionWrapper, F, Func, IntegerField, Max, NullBooleanField, OuterRef,
-    Q, Subquery, Sum, Value, When,
+    ExpressionWrapper, F, FloatField, Func, IntegerField, Max,
+    NullBooleanField, OuterRef, Q, Subquery, Sum, Value, When,
 )
 from django.db.models.expressions import RawSQL
 from django.db.models.functions import Length, Lower
@@ -178,6 +178,14 @@ class NonAggregateAnnotationTestCase(TestCase):
         self.assertEqual(book.combined, 12)
         self.assertEqual(book.rating_count, 1)
 
+    def test_combined_f_expression_annotation_with_aggregation(self):
+        book = Book.objects.filter(isbn='159059725').annotate(
+            combined=ExpressionWrapper(F('price') * F('pages'), output_field=FloatField()),
+            rating_count=Count('rating'),
+        ).first()
+        self.assertEqual(book.combined, 13410.0)
+        self.assertEqual(book.rating_count, 1)
+
     def test_aggregate_over_annotation(self):
         agg = Author.objects.annotate(other_age=F('age')).aggregate(otherage_sum=Sum('other_age'))
         other_agg = Author.objects.aggregate(age_sum=Sum('age'))